Abstract: This paper presents a novel FPGA based method to implement a repeated squared-and-multiply algorithm in polynomial rings. The repeated square-and-multiply algorithm for exponentiation is ...

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Abstract: L3 Cache timing attack is recently proposed as a new type of Cache timing attacks. In this paper we implement this new ideal on the DSA and demonstrate that the DSA is also vulnerable to L3 ...

The square-and-multiply algorithm is a widely used technique for efficient exponentiation, especially in cryptographic applications. While the algorithm offers a general-purpose solution with ...

In 1971, German mathematicians Schönhage and Strassen predicted a faster algorithm for multiplying large numbers, but it ...

We give new algorithms for the computation of square roots and reciprocals of power series in C║x║ If M(n) denotes the cost of multiplying polynomials of degree n, the square root to order n costs ...

From reproductive rights to climate change to Big Tech, The Independent is on the ground when the story is developing. Whether it's investigating the financials of Elon Musk's pro-Trump PAC or ...